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59990868 = 223672939
BaseRepresentation
bin1110010011011…
…0001101010100
311011212212000000
43210312031110
5110324201433
65541451300
71325625330
oct344661524
9134785000
1059990868
1130955033
1218110b30
13c575a72
147d787c0
155400113
hex3936354

59990868 has 84 divisors (see below), whose sum is σ = 179951520. Its totient is φ = 17134416.

The previous prime is 59990839. The next prime is 59990881. The reversal of 59990868 is 86809995.

59990868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18943 + ... + 21881.

It is an arithmetic number, because the mean of its divisors is an integer number (2142280).

Almost surely, 259990868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59990868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89975760).

59990868 is an abundant number, since it is smaller than the sum of its proper divisors (119960652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59990868 is a wasteful number, since it uses less digits than its factorization.

59990868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 59990868 is about 7745.3772019186. The cubic root of 59990868 is about 391.4669016807.

The spelling of 59990868 in words is "fifty-nine million, nine hundred ninety thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 2939 3402 5103 5878 6804 8817 10206 11756 17634 20412 20573 26451 35268 41146 52902 61719 79353 82292 105804 123438 158706 185157 238059 246876 317412 370314 476118 555471 714177 740628 952236 1110942 1428354 1666413 2142531 2221884 2856708 3332826 4285062 4999239 6665652 8570124 9998478 14997717 19996956 29995434 59990868